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Finding the Fourth Proportional to 973.64, 1,342.60 and 694.32

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Solution

The fourth proportional to 973.64, 1,342.60 and 694.32 is: 957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.64 : 1,342.60 = 694.32 : x
  2. Step 2: Convert to fraction form
    973.64/1,342.60 = 694.32/x
  3. Step 3: Cross multiply
    973.64x = 1,342.60 × 694.32
  4. Step 4: Simplify right side
    973.64x = 932,194.03
  5. Step 5: Solve for x
    x = 932,194.03/973.64
  6. Step 6: Final answer
    x = 957.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.